AT-OEMO-REG 2016 Problem 1

Determine all positive integers $k$ and $n$ satisfying the equation $k^2 - 2016 = 3^n$ (Stephan Wagner)

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.